Results 1 to 10 of about 4,479 (80)

Core-EP-Nilpotent Decomposition and Its Applications

Journal of Mathematics, 2023
We give the illustration of a new decomposition: the core-EP-nilpotent decomposition, which is on the basis of the core-EP decomposition and EP-nilpotent decomposition for some square matrices in this thesis. According to the new decomposition, we show the definitions and characteristics of two new orders: core-E-N partial order and core-E-S partial ...
Yang Zhang, Zongyang Jiang
openaire   +2 more sources

A new generalized inverse of matrices from core-EP decomposition

, 2020
A new generalized inverse for a square matrix $H\in\mathbb{C}^{n\times n}$, called CCE-inverse, is established by the core-EP decomposition and Moore-Penrose inverse $H^†$. We propose some characterizations of the CCE-inverse. Furthermore, two canonical forms of the CCE-inverse are presented. At last, we introduce the definitions of CCE-matrices and $k$
Zuo, Kezheng, Li, Yu, Luo, Gaojun
openaire   +2 more sources

Core-EP decomposition and its applications

Linear Algebra and its Applications, 2016
In this paper, we introduce the notion of the core-EP decomposition and some of its properties. By using the decomposition, we derive several characterizations of the core-EP inverse, introduce a pre-order(i.e. the core-EP order) and a partial order(i.e. the core-minus partial order), and characterize the properties of both orders.
openaire   +2 more sources

On star-dagger matrices and the core-EP decomposition

Journal of Computational and Applied Mathematics
A square complex matrix \(A\) is star-dagger when \(A^*A^\dag = A^\dag A^*\) (the superscript \({}^*\) denotes the conjugate transpose). The authors give some properties of star-dagger matrices by using the following result established by \textit{H. Wang} [Linear Algebra Appl. 508, 289--300 (2016; Zbl 1346.15003)]: Theorem.
David E. Ferreyra, Fabián E. Levis, Saroj B. Malik, A. N. Priori   +3 more
openaire   +3 more sources

Dual Core-EP Generalized Inverse and Decomposition

CoRR
In this work, we introduce a new type of generalized inverse called dual core-EP generalized inverse (in short DCEPGI) for dual square matrices. We analyze the existence and uniqueness of the DCEPGI inverse and its compact formula using dual Drazin and dual MP inverse. Moreover, some characterizations using core-EP decomposition are obtained.
Bibekananda Sitha, Jajati Keshari Sahoo, Néstor Thome   +2 more
openaire   +2 more sources

Core-EP decomposition and related relations revisited

International Electronic Journal of Algebra
We study relations that are induced by the core-EP decomposition. We revisit the core-EP preorder and extend the concepts of the core-minus, the c-minus, and the c-star partial orders from the set of all $n\times n$ complex matrices to the set of all core-EP invertible elements in a $\ast$-ring.
Gregor Dolinar, Janko Marovt, Dijana Mosic   +2 more
openaire   +1 more source

A decomposition of Fisher's information to inform sample size for developing or updating fair and precise clinical prediction models - part 3: continuous outcomes. [PDF]

Diagn Progn Res
Whittle R, Riley RD, Archer L, Collins GS, Legha A, Snell KI, Ensor J.   +6 more
europepmc   +1 more source

On the orientation dependence of ion-induced phase transformations in austenitic stainless steel. [PDF]

J Mater Sci
Whiteside J, Whiting MJ, Cox DC, Hobler G.   +3 more
europepmc   +1 more source

Analysis of the decomposition of an anhydride-cured epoxy resin by subcritical hydrolysis. [PDF]

Sci Rep
Backens S, Wieland AK, Schmidt S, Flügge W, Friederici L, Rüger C.   +5 more
europepmc   +1 more source

Quantitative Kinetic Modeling of Redox-Initiated Graft Copolymerization of MMA and Styrene onto Natural Rubber Latex. [PDF]

Polymers (Basel)
Arayapranee W, Patthaveekongka W.
europepmc   +1 more source